So, I'm writing a story. I have a part where I describe a family who has had a lot of misfortunes; the mother got killed, the father got sick, etc. I want to follow it up with a statement when another tragedy happens and I want a sentence it like this:

"The already [insert word] here family once again receives a visit from misfortune as..."

You might want to use "long-suffering" -- showing patience and fortitude in the face of trouble/misfortune. (Though it can sometimes be read as implying that the misfortune was caused by someone else, such as a spouse.) "Stoic" is another option, without the implication as to cause.
– Hot LicksJul 22 '15 at 2:18

I'd suggest wounded or battered in this case. Since your second half of the sentence sets up the image of being visited (and hurt) by misfortune, it would make sense to keep the image in mind in the first half.